This application is based upon and claims the benefit of priority from Japanese Patent Application No. 2019-052164, filed Mar. 20, 2019, the entire contents of which are incorporated herein by reference.
Embodiments described herein relate generally to a magnetic memory device.
Magnetic memory devices (semiconductor integrated circuit device) in which magnetoresistive elements and transistors are integrated on a semiconductor substrate, have been proposed.
However, it is not evaluated that the conventional magnetoresistive elements always perform stable memory operation.
In general, according to one embodiment, a magnetic memory device includes: a magnetoresistive element including: a first magnetic layer having a variable magnetization direction; a second magnetic layer having a fixed magnetization direction; and a nonmagnetic layer provided between the first magnetic layer and the second magnetic layer, the first magnetic layer containing nickel (Ni), cobalt (Co), manganese (Mn) and gallium (Ga) and having a spin polarization less than 0.71.
Hereafter, embodiments will be described with reference to drawings.
A magnetoresistive element 100 is configured as a stacked structure comprising a storage layer (a first magnetic layer) 10, a reference layer (a second magnetic layer) 20, and a tunnel barrier layer (a nonmagnetic layer) 30 provided between the storage layer 10 and the reference layer 20. The storage layer 10 is a ferromagnetic layer having a variable magnetization direction, and the reference layer 20 is a ferromagnetic layer having a fixed magnetization direction. The variable magnetization direction means that the magnetization direction varies with respect to a predetermined write current. The fixed magnetization direction means that the magnetization direction does not vary with respect to a predetermined write current.
The magnetoresistive element 100 described above is formed on a lower region, which is not illustrated. In the lower region, a semiconductor substrate, a transistor, wiring lines, an interlayer insulating film, and the like are contained.
Note that the magnetoresistive element 100 shown in
Moreover, the magnetoresistive element 100 may further contain, stacked therein, a shift canceling layer having a fixed magnetization direction antiparallel to the magnetization direction of the reference layer 20, and has a function which cancels a magnetic field applied to the storage layer 10 from the reference layer 20.
The magnetoresistive element 100 has a low-resistance state in which the magnetization direction of the storage layer 10 is parallel to the magnetization direction of the reference layer 20, and also a high-resistance state in which the magnetization direction of the storage layer 10 is anti-parallel to the magnetization direction of the reference layer 20. Therefore, the magnetoresistive element 100 can store binary data (0 or 1) according to the resistance state (the low-resistance state or the high-resistance state). Moreover, the magnetoresistive element 100 can be set to the low-resistance state (a parallel state) or the high-resistance state (anti-parallel state) according to the direction of current allowed to flow to the magnetoresistive element 100.
The magnetoresistive element 100 described above is a spin transfer torque (STT) magnetoresistive element, and has a perpendicular magnetization. That is, the magnetization direction of the storage layer 10 is perpendicular to the main surface, and the magnetization direction of the reference layer 20 is perpendicular to the main surface. Here, the term “perpendicular” means that the direction θ of residual magnetization is in a range of 45°<θ≤90° to the surface of the film.
In this embodiment, the storage layer (first magnetic layer) 10 contains nickel (Ni), cobalt (Co), manganese (Mn), and gallium (Ga), and has a spin polarization of less than 0.71. With use of the storage layer 10 having such a structure, a magnetoresistive element which can perform stable memory operation (stable write operation) can be obtained. Detailed descriptions will be provided.
Generally, the movement of spin is expressed by Landau-Lifshitz-Gilbert (LLG) formulas which will be set out below.
Here,
is the time differential of the spin.
of the first term on the right-hand side is a precession term.
{tilde over (α)}×
of the second term of the right-hand side is a damping term.
of the third term of the right-hand side is a spin-torque term.
Moreover, E contained in the first term of the right-hand side expresses the energy of the system, which is given by:
E=−Kueff cos2θ−Msext·
Here,
Kueff
expresses the magnetic anisotropy energy. θ is an angle to the spin of reference layer. Ms is magnetization.
ext
is an external magnetic field.
Moreover, the function g which appears in the third term of the right-hand side expresses a spin injection efficiency. In the case of the magnetoresistive element, it is given by:
Here, the LLG formula is expressed as follows.
Furthermore, if the LLG formula is expressed by polar coordinates, the following formula is obtained.
When the above formula is transformed, the following can be obtained.
All the equilibrium state can be obtained by solving the following formula:
vθ=0,vφ=0
When the formula is linearized around “θ=0”, the following formula is obtained.
Here, D is a dynamic matrix.
The stability of spin is determined by the conditions that the sign of the real part of the eigenvalue of the dynamic matrix becomes negative. When one of the two eigenvalues is set to k, the stabilization condition is given by:
Re[k]<0
For simplification, the following symbols are introduced.
When the above-described symbols are used,
gn≡g(θ=0,P_SL)
is used to obtain
Therefore, the eigenvalues of the dynamic matrix is as follows.
k=ωjgn−α(ωH+ωK)±i|ωH+ωK−αωjgn|
From the above-described stabilization conditions, the following relationship is obtained.
The above relationship expresses the stable region of a parallel state (P state).
Similarly, in order to determine the stable region of an anti-parallel state (AP state), formula (1) is linearized around “θ=π”. Then, the eigenvalues of the dynamic matrix are obtained as in a manner similar to the above, and the stabilization condition thereto is expressed by
Next, “cycle” states other than “θ=0, π” will be examined. This state is not a state in which the parallel state (P state) or anti-parallel state (AP state) is stable, but a state in which a stable precession is carried out. That is, it is an unstable state as a memory device, in which a write error can occur. This state can be defined by:
{dot over (θ)}=0
From this definition, the following formula is obtained.
ωjg0+α(ωH+ωK)=0
ω≡{dot over (φ)}=ωH+ωK cos θ0
g0≡g(θ0,P_SL)
When the above formula is solved about ω,
can be obtained.
Here,
−1≤cos θ0≥+1
and therefore, the above formula has a solution to ω only in the following range.
ω−≤ω≤ω+
ω−≡ωH−|ωK|,ω+≡ωH+|ωK|
As described above, formula (2), formula (3) and formula (4) express memory operations in a current-magnetic field plane (ωj−ωH plane), which create a phase diagram as shown in
In
As shown in
As shown in
On the other hand, as shown in
Next, the condition which stabilizes the memory operation will be clarified.
First, the right-hand side of formula (4) is focused. The right-hand side of formula (4) is a quadratic of ω, and its peak is obtained by
Detailed analysis indicates that the unstable region is specified under the following condition.
ω−≤ωC≤ω+
When this condition is rearranged,
is obtained.
The unstable region is specified as described above. The condition to confine the unstable region in the first quadrant is as follows.
ωH
In consideration of the fact that ωK>0, the following formula can be drawn from the above-provided condition,
P<(½)1/2≅0.71.
From the above, it is understood that the storage layer 10 should preferably have a spin polarization P_SL of less than 0.71.
Next, the lower limit of the spin polarization P_SL of the storage layer 10 will be considered.
As described above, in order to obtain stable memory operation (stable write operation), the spin polarization of the storage layer 10 should preferably be less than 0.71. However, if the spin polarization is excessively low, the MR ratio is accordingly reduced, which is not preferable for read operation.
As already mentioned, the storage layer 10 of this embodiment is formed of a ferromagnetic material layer containing nickel (Ni), cobalt (Co), manganese (Mn) and gallium (Ga) (hereafter, this layer may be referred to simplify an NiCoMnGa layer). Hereafter, a preferable composition range of the storage layer (NiCoMnGa layer) 10 of this embodiment will be discussed.
As described above, it is preferable that the spin polarization P_SL of the storage layer 10 be less than 0.71. Therefore, it can be seen from
As described above, in this embodiment, the storage layer 10 contains nickel (Ni), cobalt (Co), manganese (Mn) and gallium (Ga), and has a spin polarization lower than 0.71. With this structure, a magnetoresistive element which can perform stable memory operation and stable write operation, can be obtained. Moreover, when the storage layer 10 is formed to have a spin polarization higher than 0.45, the decrease in MR ratio can be suppressed, thereby making it possible to perform stable read operation.
Note that in the magnetic memory device 100 of this embodiment, for example, the following materials can be used for the reference layer (second magnetic layer) 20 and the tunnel barrier layer (nonmagnetic layer) 30. For the reference layer 20, a ferromagnetic material similar to that of the storage layer 10 described above may be used. Or, a ferromagnetic material containing cobalt (Co), iron (Fe), and boron (B) may be used for the reference layer 20. For the tunnel barrier layer 30, an insulating material containing magnesium (Mg) and oxygen (O) can be used.
Next, the second embodiment will be described. Note that the basic items are similar to those of the first embodiment. Therefore, explanations for the items already discussed in the first embodiment will be omitted.
In this embodiment as well, the basic structure of the magnetoresistive element is similar to that of the magnetoresistive element 100 shown in
More specifically, the storage layer 10 is formed of a Heusler alloy containing at least one of cobalt (Co) and iron (Fe), and at least one element selected from manganese (Mn), silicon (Si), germanium (Ge), aluminum (Al), gallium (Ga), tin (Sn), titanium (Ti), and vanadium (V).
Usable examples of the Heusler alloy to be used as the storage layer 10 will be provided bellow together with the following spin polarizations P_SL.
In this embodiment, the storage layer 10 is formed of a Heusler alloy and has a spin polarization less than 0.71. Thus, for a reason similar to that explained in the first embodiment, a magnetoresistive element which can perform stable memory operation and stable write operation, can be obtained. Moreover, in this embodiment as well, for a reason similar to that explained in the first embodiment, by forming the storage layer 10 to have a spin polarization higher than 0.45, the decrease in MR ratio can be suppressed, and the read operation can be stably carried out.
While certain embodiments have been described, these embodiments have been presented by way of example only, and are not intended to limit the scope of the inventions/present disclosures. Indeed, the novel embodiments described herein may be embodied in a variety of other forms; furthermore, various omissions, substitutions and changes in the form of the embodiments described herein may be made without departing from the spirit of the inventions/present disclosures. The accompanying claims and their equivalents are intended to cover such forms or modifications as would fall within the scope and spirit of the inventions/present disclosures.
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